ON THE EFFECTS OF CIRCULAR BOLT PATTERNS ON THE ...

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or the beam. This category of the hysteresis is called “End-Plate Behavior” by the author. The tri-linear hysteresis model of “End-Plate Behavior” category is presented in Figure 5-6. The second category is the models with relatively small bolt diameter. Due to an early and large deformation of the bolts in these models, the hysteresis behaviors of these connections are largely governed by the overall behavior of the bolts in the connections. Therefore, this category of the hysteresis behavior is called “Bolt Behavior.” The tri-linear hysteresis model of the “Bolt Behavior” category is presented in Figure 5-7. Visual observation of the hysteresis results of the models shows that the threshold between the two hysteresis behavior of the “End-Plate Behavior.” and “Bolt Behavior” is the bolt diameter of ¾ in. The models with bolt diameter equal of smaller than ¾ in. undergo a large bolt elongation and present “Bolt Behavior”, while the models with bolt diameter larger than ¾ in. present “End-Plate Behavior”. To simulate the hysteresis behavior of the connections, four essential parameters were determined for each model using the results collected from the finite element analysis. These parameters are; the moment capacity of the connection at yield (My), the initial stiffness (E), the post yielding stiffness (Et), and the maximum rotation of the end-plate at the failure (θf). Figures 5-6 and 5-7 show the schematic drawing of the tri-linear hysteresis model and the corresponding parameters for connections with “End-Plate Behavior” and “Bolt Behavior” respectively. 75
F G Figure 5-6 Tri-Linear Hysteresis Behavior Of The Models With “End-Plate Behavior” Pass in Figure 5-6 shows an outer hysteresis envelope of the models with “End-Plate Behavior.” The parametric value of the moment and rotation for each point of the hysteresis is calculated using the four basic parameters and are presented in Table 5-3. Table 5-3 Parametric Value Of The Moment And Rotation Of The Points On The Hysteresis Model Of The Connections With “End-Plate Behavior” Point Moment (M) Rotation (θ) A 0 0 B My θy C My + Et.(θf-θy) θf D 0 θf – [My + Et.(θf-θy)]/ Et E -My - θy F - [My - Et.(θf-θy)] - [θf – [My + Et.(θf-θy)]/ Et] B My θy Pass in Figure 5-7 shows an outer hysteresis envelope of the models with “Bolt Behavior.” The parametric value of the moment and rotation for each point of the hysteresis is calculated using four basic parameters and are presented in Table 5-4. E M M f M y A 76 E B E t θy θf θ D C
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ON THE EFFECTS OF CIRCULAR BOLT PAT
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ACKNOWLEDGMENTS I would like to exp
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elements during monotonic and cycli
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3.2.3.1.2 Surface Preparation .....
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APPENDIX ..........................
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3-15 Configuration Of Extended End-
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5-10 Comparison Of The Predicted Vs
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6-18 End-Plate Deformation Of (a) T
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6-4 Energy Dissipation Percentage V
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(a) (b) (c) . Figure 1-1 Failure Mo
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noticeable. Among those, Asteneh-as
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phenomenon will decrease the bolt-f
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Douty and McGuire [3] (1965) conduc
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Tsai and Popov [33] performed three
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plate moment connection can be use
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during moderate earthquake excitati
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Gebbeken et al.[56] used the finite
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load overcomes the pretension force
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Figure 2-3 Tension Angle Free-Body
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CHAPTER 3 3. EXPERIMENTAL INVESTIGA
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Page 43 and 44: Figure 3-5 Deformed Shape Of The T-
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Page 47 and 48: Figure 3-8 Schematic Drawing Of The
Page 49 and 50: 3.2.4 Test Setup The 400K compressi
Page 51 and 52: The instrumented bolts were connect
Page 53 and 54: Figure 3-14 Applied Force Vs. Flang
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Page 59 and 60: prevent out-of-plane buckling of th
Page 61 and 62: Figure 3-20(c) shows the test instr
Page 63 and 64: Element Washer Bolt Line Number Tab
Page 65 and 66: modulus and the rate at which the h
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Page 69 and 70: Bolt Force (kip) 0 2 4 (mm) 6 8 Fig
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Page 73 and 74: a very early stage of loading with
Page 75 and 76: Moment (kip.ft) 300 200 100 0 -100
Page 77 and 78: Figure 4-17 Failure Of Bolts In The
Page 79 and 80: geometrical configuration of bolt h
Page 81 and 82: Figure 4-23 Failure Of The Angle Du
Page 83 and 84: CHAPTER 5 5. DEVELOPMENT OF HYSTERE
Page 85 and 86: The schematic comparison of the pro
Page 87 and 88: Bolt-4 Bolt-5 Bolt-3 End-Plate Bolt
Page 89 and 90: The analyses were conducted by appl
Page 91: Figure 5-5 Schematic Drawing Of The
Page 95 and 96: simulate the hysteresis characteris
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Page 104: Table 5-7 Summary Of The Results An
Page 109 and 110: Section 5-6-3-4 Figure 5-7 Section
Page 111 and 112: These techniques yield information
Page 113 and 114: 2 A value of R 1 implies that S is
Page 115 and 116: (kip.ft) Figure 5-9 Comparison Of T
Page 117 and 118: M e . .t . .A . .S . (5-17) The p
Page 119 and 120: Figure 5-16 Comparison Of The Predi
Page 121 and 122: (ksi) Figure 5-19 Comparison Of The
Page 123 and 124: (ksi) Figure 5-22 Comparison Of The
Page 125 and 126: CHAPTER 6 6. DISCUSSION OF THE RESU
Page 127 and 128: Table 6-2 Energy Dissipation Percen
Page 129 and 130: espectively. While in similar model
Page 131 and 132: Moment (kip.ft) 900 450 0 ‐450
Page 133 and 134: Models Tp1½-Bd½-d30, Tp1-Bd½-d30
Page 135 and 136: a) Tp½-Bd1¼-d30-CIR 140 Bolt Forc
Page 137 and 138: a) Tp1½-Bd1¼-d30-CIR 140 Bolt For
Page 139 and 140: a) Tp1½-Bd½-d30-CIR 25 Bolt Force
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6.5 Bolt-Force Variation Under Cycl
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a) Tp1.0-Bd1¼-d30- 140 Bolt Force
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a) Tp½-Bd½-d30- 25 Bolt Force (ki
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a) Tp¾-Bd¾-d30- 60 Bolt Force (ki
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configurations of the finite elemen
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Circular Bolt Pattern Square Bolt P
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0.15 0.3 0.45 0.6 0.75 (a) (b) Figu
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initial stiffness of the connection
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parameters is recommended to study
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The relation between applied torque
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146 Table B-1 Test Matrix of the Co
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Table B-3Test Matrix of the Connect
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The hysteresis results obtained fro
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) Figure C-22 Compari
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Moment (kip.ft) ‐2% ‐1% 0% 1% 2
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) 1000 750 500 250 0
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) 1500 1000 500 0 ‐
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The hysteresis results obtained fro
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure D-34 Compari
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Moment (kip.ft) 900 600 300 0 -2% -
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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The simulated tri-linear hysteresis
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure E-34 Compari
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Moment (kip.ft) 900 600 300 0 -2% -
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure E-58 Compari
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Moment (kip.ft) -2% -1% 0% 1% 2% -2
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Moment (kip.ft) -2% -1% 0% 1% 2% -6
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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The statistical parameters used dur
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[11] Morrison, S. J., Astaneh-Asl,
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[33] Tsai K. C., Popov E. P. (1990)
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[56] Gebbeken, N., Rothert, H., and
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BIOGRAGHICAL INFORMATION Roozbeh Ki
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